11876800 has 84 divisors (see below), whose sum is σ = 31527496. Its totient is φ = 4377600.

The previous prime is 11876791. The next prime is 11876801. The reversal of 11876800 is 867811.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11876801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20515 + ... + 21085.

Almost surely, 2^11876800 is an apocalyptic number.

11876800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15763748).

11876800 is an abundant number, since it is smaller than the sum of its proper divisors (19650696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11876800 is a wasteful number, since it uses less digits than its factorization.

11876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 31.

The square root of 11876800 is about 3446.2733495763. The cubic root of 11876800 is about 228.1566585199.

The spelling of 11876800 in words is "eleven million, eight hundred seventy-six thousand, eight hundred".